Find the valve please

The cash flows for the depreciation per year for the 20 years are estimated.

a. Amount at the time of purchase is $-100,000 (Negative because it is an outflow)

b. Amount in each of the following 20 years:

The straight-line depreciation rate can be calculated by dividing the purchase price by the number of years the asset is expected to last.

Here, the purchase price is $100,000 and the expected life is 20 years.

Depreciation per year = Purchase price / Expected life

= $100,000 / 20

= $5,000 per year (constant for 20 years)

For each of the 20 years, the cash flows are as follows:

Year 1: -$5,000 (depreciation expense)

Year 2: -$5,000 (depreciation expense)

Year 3: -$5,000 (depreciation expense)

Year 4: -$5,000 (depreciation expense)

Year 5: -$5,000 (depreciation expense)

Year 6: -$5,000 (depreciation expense)

Year 7: -$5,000 (depreciation expense)

Year 8: -$5,000 (depreciation expense)

Year 9: -$5,000 (depreciation expense)

Year 10: -$5,000 (depreciation expense)

Year 11: -$5,000 (depreciation expense)

Year 12: -$5,000 (depreciation expense)

Year 13: -$5,000 (depreciation expense)

Year 14: -$5,000 (depreciation expense)

Year 15: -$5,000 (depreciation expense)

Year 16: -$5,000 (depreciation expense

)Year 17: -$5,000 (depreciation expense)

Year 18: -$5,000 (depreciation expense)

Year 19: -$5,000 (depreciation expense)

Year 20: -$5,000 (depreciation expense)

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Answer:

74

Step-by-step explanation:

subtract a from b

√64.93 units

Step-by-step explanation:

Let point A and B be x and y.

Distance=√(x)²+(y)²

=√(64)²+(-11)²

=√4096+121

=√4217

√64.93 units

The simplified form of each of the given expressions as required is as follows;

a. -2 + 5 = 3

b. (−4) • (6) = -24

c. 4 − (−3) = 4 + 3 = 7

d. 10 + (−2) − 7 = 10 - 2 - 7 = 1.

e. −5 − 3(2 − 6) = -5 -3(-4) = -5 + 12 = 7.

f. (3 − 3)(102 − 11) = (0) (91) = 0.

It follows from the task content that the given arithmetic operations are to be simplified.

The PEMDAS guidelines which prescribe the order of mathematical operations is used for the computation.

where;

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

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The value of her investment is $1200

Answer:(0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

Answer:0,3

Step-by-step explanation:

Answer:

3 hours and 25 min

Answer:

y = -4,5x + 180

Step-by-step explanation:

y = kx + n

k = - 4,5

n = 180

The slope intercept form of an equation is y=-40x+140.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

From the given graph the coordinate points are (2, 100) and (1, 140).

Here, slope(m) = (140-100)/(1-2)

m= -40

Substitute m= -40 and (x, y)=(2, 100) in y=mx+c, we get

100=-40(1)+c

c=140

Substitute m= -40 and c=140 in y=mx+c, we get

y=-40x+140

Therefore, the slope intercept form of an equation is y=-40x+140.

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Answer:

135

285

300

Step-by-step explanation:

The angle the 14 foot long wire must make with the gound is approximately 51 degrees.

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.

Using cosine law,

17² = 14² + 22² - 2 × 14 × 22 cos C

289 - 196 - 484 = -616 cos C

-391 = -616 cos C

divide both sides by -616

cos C = -391  / -616

cos C = 0.63474025974

C = cos⁻¹ 0.63474025974

C = 50.59929658

C = 51 degrees.

Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.

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Answer:

50.6

Step-by-step explanation:

yes

Answer:

7,  10, 8

Step-by-step explanation:

the pattern is -2, +3, -2, +3

If for her party, Carla bought a 5-pound bag of candy to give as party treats. She invited 15 people. The amount of candy that each of the 15 people get is: A) 15 ÷ 5 = 15/5 = 3 pounds.

Given data:

Candy bought = 5

Number of people invited = 15

Now let find the amount of candy to gives as party treats

Number of candy = Number of people invited / Candy bought

Number of candy = 15/5

Number of candy = 3 pounds

Therefore we can conclude that the correct option is A.

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Answer:

Please refer to the image

Step-by-step explanation:

The translations and reflections are rigid transformations because the preimage and image will have identical dimensions.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

From the definition of the geometric translation, the change in coordinates and the shape of the geometrical body.

Examples of rigid transformations include translations, rotations, and reflections. As a result, the preimage and image will have identical dimensions.

Thus, the translations and reflections are rigid transformations because the preimage and image will have identical dimensions.

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Answer:

a₅ = 160

Step-by-step explanation:

Using the recursive rule and a₁ = 10 , then

a₂ = 2a₁ = 2 × 10 = 20

a₃ = 2a₂ = 2 × 20 = 40

a₄ = 2a₃ = 2 × 40 = 80

a₅ = 2a₄ = 2 × 80 = 160

Answer:

Step-by-step explanation:

Remark

The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)

PS = 208

PR = 74

Solution

x = 1/2 (208 - 74)

x = 1/2 (134)

x = 67

Answer:

x/5 +1 = 21

Step-by-step explanation:

x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21

Answer:

I need more info

Step-by-step explanation:

Info given

We have a total of people given (82). We also know that we have 54 children of under 12 years and under some children were under 3 years

We define x as the number of children under 3 years.

We want to find C for the total cost. We don't have the unitary prices but we can assume it as C1 (over 3 and lower than 12) and C2(adults) for children and adults.

Solution:

With C the total amount collected and C1 and C2 described above.

Answer:

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.

Step-by-step explanation:

For Cube a

Edge length = 10cm

Hence,

Volume = (side length)³

Volume = (10cm)³

= 1000cm³

For cube b

Side/Edge length = 5cm

Volume of cube = (5 cm)³

= 125 cm³

Gerardo statement is wrong.

Therefore, the correct explanation is given as:

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.

Answer:

Francine's score: 34x + 14

Cheryl's score: 30x + 22

Equal scores => 34x + 14 = 30x + 22

34x - 30x = 22 - 14

4x = 8

x = 8 /4 = 2.

Answer: 2  

Step-by-step explanation:

Answer:

Long side: 7

Midium side: 6

Short side: 4

Step-by-step explanation:

17=(3x-5)+(x)+(x+2)

20=5x

4=x

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and common side but do not overlap. They share the same vertex and same common side.

Vertical angles are opposite angles made by two intersecting lines.

Hope this helps!

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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For the first question, the answer is option C) 172.  On day 1, Joe remembered all 200 words. On day 2, he remembered 10% fewer words than he did on day 1. This means he remembered 90% of the words he memorized on day 1.

90% of 200 is (90/100) x 200 = 180 words.
On day 3, Joe remembered 10% fewer words than he did on day 2. This means he remembered 90% of the words he memorized on day 2.
90% of 180 is (90/100) x 180 = 162 words.

Therefore, Joe remembered 162 words on day 3. So, the answer is option B.
For the second question, we don't have the given equation for the circle. Without the equation, we can't determine the length of the radius. So, we can't provide a long answer or a main answer.

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We are given the following information

M is between G and T

MG = 2x + 1

MT = 3x + 3

GT = 19

Let us draw a sketch to better understand the problem

As you can see, the sum of MG and MT must be equal to the GT

Mathematically,

Let us solve the above equation or x

So, the value of x is 3

Therefore, the required values are

x = 3

MG = 7

MT = 12

Answer:

To find the area of the larger triangle in part a), we can use the equation for the area of a triangle, which is A = (1/2)bh. Since the height of the larger triangle is 21 cm and the height of the smaller triangles is 3 cm, we can say that the height of the larger triangle is 7 times greater than the height of the smaller triangles. This means that the base of the larger triangle is also 7 times greater than the base of the smaller triangles.

Since the area of a triangle is directly proportional to the product of its base and height, the area of the larger triangle is 7 times greater than the area of the smaller triangles. Since the area of the smaller triangles is 4.8 cm², the area of the larger triangle is 7 * 4.8 = <<7*4.8=33.6>>33.6 cm².

For part b), we can use a similar method to find the number of smaller triangles used to form the larger triangle. Since the perimeter of the larger triangle is 32 times greater than the perimeter of the smaller triangles, the sides of the larger triangle are also 8 times greater than the sides of the smaller triangles. This means that the number of sides of the larger triangle is also 8 times greater than the number of sides of the smaller triangles.

Since the number of sides of a triangle is directly proportional to the number of triangles used to form it, the number of smaller triangles used to form the larger triangle is 8 times the number of smaller triangles used to form the smaller triangles. Since we don't know how many smaller triangles were used to form the smaller triangles, we can't determine the exact number of smaller triangles used to form the larger triangle. However, we can say that it is at least 8.

The standard form of the equation of f(x) is: C. f(x) = -x² + 4x + 12.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (4, 3) and the y-intercept (0, 12), we can determine the value of "a" as follows:

y = a(x - h)² + k

12 = a(0 - 2)² + 16

12 - 16 = 4a

-4 = 4a

a = -1

Therefore, the required quadratic function in vertex form and standard form are given by:

y = a(x - h)² + k

y = -(x - 2)² + 16

y = -(x² - 2x - 2x + 4) + 16

y = -(x² - 4x + 4) + 16

y = -x² + 4x - 4 + 16

y = f(x) = -x² + 4x + 12

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.To express Annika's spending in terms of h, the number of hours the DJ can be at the party, we can set up an inequality by considering the total cost.

Let's represent Annika's spending on the DJ as 35h, where h is the number of hours. Additionally, we know Annika plans to spend $180 on decorations. Therefore, the total cost should be no more than $400.

The inequality can be written as:

35h + 180 ≤ 400

This inequality states that the cost of hiring the DJ (35h) plus the cost of decorations ($180) should be less than or equal to $400.

Therefore, the correct inequality that shows Annika's spending in terms of h is 35h + 180 ≤ 400.

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The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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